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Simplifying 26 + -1(4x + -11) = 5 + -1(x + 7) Reorder the terms: 26 + -1(-11 + 4x) = 5 + -1(x + 7) 26 + (-11 * -1 + 4x * -1) = 5 + -1(x + 7) 26 + (11 + -4x) = 5 + -1(x + 7) Combine like terms: 26 + 11 = 37 37 + -4x = 5 + -1(x + 7) Reorder the terms: 37 + -4x = 5 + -1(7 + x) 37 + -4x = 5 + (7 * -1 + x * -1) 37 + -4x = 5 + (-7 + -1x) Combine like terms: 5 + -7 = -2 37 + -4x = -2 + -1x Solving 37 + -4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 37 + -4x + x = -2 + -1x + x Combine like terms: -4x + x = -3x 37 + -3x = -2 + -1x + x Combine like terms: -1x + x = 0 37 + -3x = -2 + 0 37 + -3x = -2 Add '-37' to each side of the equation. 37 + -37 + -3x = -2 + -37 Combine like terms: 37 + -37 = 0 0 + -3x = -2 + -37 -3x = -2 + -37 Combine like terms: -2 + -37 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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